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Most cited

This page lists all time most cited articles for this title. Please use the publication date filters on the left if you would like to restrict this list to recently published content, for example to articles published in the last three years. The number of times each article was cited is displayed to the right of its title and can be clicked to access a list of all titles this article has been cited by.

Contents

Page 175 of 185

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  • Small Oscillations with Damping

  • John Williams
  • Published online by Cambridge University Press:
    03 November 2016, pp. 29-31

  • Most textbooks in dynamics deal with the problem of simple harmonic motion when there is damping present proportional to the velocity; the solution in this case is exact. If, on the other hand, we prescribe damping proportional to the square of the velocity the solutions, in general, can not be evaluated in finite terms, and so we have to resort to approximations. Since approximations play such a leading role in many current problems in applied mathematics, I feel that familiarity with approximations is an essential part of the early training of a good applied mathematician, whether he wishes to be a theorist or a practical engineer. The subject should be broached early.

  • Cited by 1

  • Archimedes in n dimensions

  • Patrick du Val, Giacomo Saban
  • Published online by Cambridge University Press:
    03 November 2016, pp. 202-205

  • “And though he made many elegant discoveries, he is said to have besought his friends and kinsmen to place on his grave after his death a cylinder enclosing a sphere, with an inscription giving the proportion by which the including solid exceeds the included.” Plutarch, on Archimedes, in The lives of famous men, the Life of Marcellus.

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Page 175 of 185